Free Wave Propagation in Plates of General Anisotropic Media

[+] Author and Article Information
Adnan H. Nayfeh

Aerospace Engineering and Engineering Mechanics, University of Cincinnati, Cincinnati, Ohio 45221

D. E. Chimenti

Air Force Materials Laboratory, Wright-Patterson A.F.B., Ohio 45433

J. Appl. Mech 56(4), 881-886 (Dec 01, 1989) (6 pages) doi:10.1115/1.3176186 History: Received June 02, 1988; Revised November 10, 1988; Online July 21, 2009


We develop the analysis for the propagation of free waves in a general anisotropic plate. We begin with a formal analysis of waves in a plate belonging to the triclinic symmetry group. The calculation is then carried forward for the slightly more specialized case of a monoclinic plate. We derive the secular equation for this case in closed form and isolate the mathematical conditions for symmetric and antisymmetric wave mode propagation in completely separate terms. Material systems of higher symmetry, such as orthotropic, transversely isotropic, cubic, and isotropic are contained implicitly in our analysis. We also demonstrate that the particle motions for Lamb and SH modes uncouple if propagation occurs along an in-plane axis of symmetry. We present numerical free-wave dispersion results drawn from concrete examples of materials belonging to several of these symmetry groups.

Copyright © 1989 by ASME
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